{"title":"Path Integral Analysis for a Damped Harmonic Oscillator with a Higher Derivative Term in the Damping","authors":"Albert C. R. Mendes, Everton M. C. Abreu","doi":"10.1007/s13538-025-01714-z","DOIUrl":null,"url":null,"abstract":"<div><p>We consider the radiation reaction experienced by a charge undergoing harmonic oscillations, and from a canonical transformation for the canonical moments, we present a new diagonalized Hamiltonian structure in the commutative and noncommutative spacetime. By using the path integral formulation, we obtained the partition function, which leads to the quantization of the system.</p></div>","PeriodicalId":499,"journal":{"name":"Brazilian Journal of Physics","volume":"55 2","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Brazilian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s13538-025-01714-z","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the radiation reaction experienced by a charge undergoing harmonic oscillations, and from a canonical transformation for the canonical moments, we present a new diagonalized Hamiltonian structure in the commutative and noncommutative spacetime. By using the path integral formulation, we obtained the partition function, which leads to the quantization of the system.
期刊介绍：
The Brazilian Journal of Physics is a peer-reviewed international journal published by the Brazilian Physical Society (SBF). The journal publishes new and original research results from all areas of physics, obtained in Brazil and from anywhere else in the world. Contents include theoretical, practical and experimental papers as well as high-quality review papers. Submissions should follow the generally accepted structure for journal articles with basic elements: title, abstract, introduction, results, conclusions, and references.
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